Question

Which answer best describes the solution to the equation
3m – 9 = 9 + 3m?

A.
one solution

B.
no solution

C.
an infinite number of solutions

D.
m = 27

Answer 1

The answer is B.
3m - 9 = 9 + 3m, Add the 9s,
3m = 18 + 3m, subtract the 3m's,
0 = 18, 0 does not equal 18, so there are no solutions.

Answer 2

3m - 9 = 3m + 9

The two sides of the equal sign are not equal, therefore it has no solutions.